{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import seaborn as sns\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load data\n",
    "((x_train, y_train), (_, _)) = tf.keras.datasets.mnist.load_data()\n",
    "\n",
    "x_train = x_train / 255.\n",
    "x_train = x_train.astype(np.float32)\n",
    "\n",
    "x_train = np.reshape(x_train, (x_train.shape[0], 784))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean = x_train.mean(axis = 1)\n",
    "\n",
    "x_train = x_train - mean[:,None]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "s, u, v = tf.linalg.svd(x_train)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "s = tf.linalg.diag(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Diagonal matrix shape: (784, 784) \n",
      "Left Singular Matrix shape: (60000, 784) \n",
      "Right Singular matrix shape: (784, 784)\n"
     ]
    }
   ],
   "source": [
    "print(\"Diagonal matrix shape: {} \\nLeft Singular Matrix shape: {} \\nRight Singular matrix shape: {}\".\n",
    "     format(s.shape,u.shape,v.shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "k = 3\n",
    "pca = tf.matmul(u[:,0:k], s[0:k,0:k])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "original data shape (60000, 784)\n",
      "reduced data shape (60000, 3)\n"
     ]
    }
   ],
   "source": [
    "print('original data shape',x_train.shape)\n",
    "print('reduced data shape', pca.shape) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x7f05f85809b0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Set = sns.color_palette(\"Set2\", 10)\n",
    "color_mapping = {key:value for (key,value) in enumerate(Set)}\n",
    "colors = list(map(lambda x: color_mapping[x], y_train))\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "ax.scatter(pca[:, 0], pca[:, 1],pca[:, 2], c=colors)\n",
    " \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:new_tf]",
   "language": "python",
   "name": "conda-env-new_tf-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
